Find a vector that is perpendicular to the given vectors. 3) i = (-5, 6, 7) v = 1, -9, 0) 4) RS and RT Given: R=(3, 7, 2) s=(1,7, –7) T = (-1, –5, 6)

Q: Find the sum of the vectors (–1,4) and (6, –2) and illustrate geometrically.

A: A vector V→=a,b can be represented on the cartesian plane, From the vector law of addition,…

Q: Given vectors a = (-4,3) and b = (2,9), what are the components of vector -a – b? (а) (-6, —6)…

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Q: 6. Write DÉ as a linear combination of the vectors i and j a) D (9,-6) E (-7, 2) first write in…

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Q: If A is (3,5,0), B is (-1,-2,7), and C(6,1,3) forms a triangle. Find the vector component of CB…

A: let a,b,c are position vector of point A,B,C respectively. Therefore a=3i+5j, b=-i-2j+7k c=6i+j+3k…

Q: Find the requested vector in R2 where A = (-3, 6), B = (8, –6) and C = (7,4). -2AB + 7CB = help…

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Q: Q1: suppose the middle of each side of the triangle is a vector from the vertex (1,2,3), (3,2,1),…

A: Vectors

Q: 02. Given the vectors : A = (3.-1, 2), B = (0, 1, 1) and C- (2, 2,-1), find: the angles between the…

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Q: Consider the vectors A= (4, -2, 2), B =-(-2,3,0), and C= (0, 2, 1). 1. Find the following. (a) B- A…

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Q: Let a (6,7, –2) and b = (4, 4, –1) be vectors. Compute the following vectors. A. a + b =( 10 11 -3…

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Q: 5. Write the components of the following vectors: 5a. ˆı, 5b. −7ˆȷ, 5c. 4ˆı + 9ˆȷ, 5d. 5ˆı − 3ˆȷ.6.…

A: The objective of the question is to write the components of the given vectors and to express the…

Q: Consider the vectors i = (6,4), i = (-2,6), = (4, 2), and i = (-2, 3). Which of these vectors are…

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Q: 40. Given a = (3,-4) and b = (1, 2). Find the vector a + 2b a. (5,-8) b.(5,0) c.(4,-4) d. (4,0)

A: Given,

Q: 1. What vector points from the origin to the point (4, 3, -1)? 2. Write (-3, 0, 2) as a sum of two…

A: Given : Point : ⟨ 4 , 3 , - 1 ⟩  Sum : ⟨ -3 ,0,2⟩

Q: For the pair of vectors, find 3U- 4V. U = (3, 2), V= (-4, 3)

A: We have to find 3U - 4V

Q: Determine the vector 8a – 7b if a = -3i + 2j – 4k and b = 5i + 6j + 2k. 8a – 7b help (vectors)

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Q: Write a = 18 (0, 3, 0) as the sum of two vectors, one parallel and one perpendicular to b = If a = a…

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Q: (22,20)

A: We have to find the solutions

Q: Given the vectors A = (-1, 2, 3), B = (0, 4, -5 ), C = ( 1, 0, -2 ), D = ( 2, 3, 1) A. Find the…

A: Given query is to find indicated vector.

Q: Which of the following vectors have the same address? A=(1,-3,2), b=(2,0,1), c=(-2,6,-4),…

A: Two vectors a and b are said to have same address if b can be written as some positive multiple of…

Q: Find the sum and difference of the following vectors:     a. + b. 0

A: Consider the part (a): a→=-4i^+6j^b→=5i^ a→+b→=-4i^+6j^+5i^=-4+5i^+6j^=i^+6j^…

Q: Find if the vector w = (-3,2,-6) can be expressed as a linear combination of the vectors v₁ =…

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Q: a. Write the vector (8,5, 30) as a linear combination of a₁ = (4, -4,1), d₂ =(4,-5, 5) and d3 = (0,…

A: (a) Let,   <8, 5, 30> = a<4, -4, 1> + b <4, -5, 5>+ c<0, -4, -4>     =>…

Q: Let the following vectors be in R³ a = (1,3,-1) b = (-2,1,3) c = (3,2,1) d= (1,-1,2) 12- Find the…

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